AIATS-2 COVERS 2014 › 2017 › 12 › jee...All India Aakash Test Series for JEE (Advanced)-2014 Test - 2 (Paper-II) 2/19 3. Two steel spheres, having radii a and 2a are released

Space for Rough Work

Test - 2 (Paper-II) All India Aakash Test Series for JEE (Advanced)-2014

1/19

PART - I : PHYSICS

SECTION - 1

Only One Option Correct Type

This section contains 6 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) out of which ONLY

ONE is correct.

1. A spring of spring constant k connected to a block of mass m is placed on a rough horizontal surface having

coefficient of friction μ. The spring is given initial elongation 3μmg

k and the block is released from rest. For the

subsequent motion, the maximum speed of the block is

(A) μ mg

k(B) 2μ m

gk

m

3 mg

k

μ

(C)2μ m

gk

(D)2

μ mg

k

2. As shown in figure mass of the block resting on the floor is 3 m while that of hanging block is m. The floor is

frictionless and horizontal and all pulleys ideal. The system is initially held stationary with the inclined thread making

an angle θ = 30° with the horizontal. The blocks are now released from rest and allowed to move. The hanging

block falls through a height h before hitting the floor and at this time the value of θ becomes 60°. The speed with

which the hanging block hits the floor is

3m

m θ

(A)2

4

gh(B)

3

4

gh

(C) 2gh (D)2

7

gh

TEST - 2 (Paper - II)Time : 3 Hrs. MM : 186


All India Aakash Test Series for JEE (Advanced)-2014 Test - 2 (Paper-II)

2/19

3. Two steel spheres, having radii a and 2a are released from a height h as shown in

figure. Assume that during motion the centres of the spheres lies on a vertical line.

Large sphere collides with the ground and recoils and collides with the small sphere.

Collisions are perfectly elastic. Velocity of small sphere just after its collision is

(A)9

2 ( 2 )5

−g h a (B)9

2 ( 2 )23

−g h a

a

h

2a

(C)5

2 ( 2 )9

−g h a (D)23

2 ( 2 )9

−g h a

4. As shown in figure a solid sphere is rolling without slipping on rough ground. It collides with an identical sphere at

rest elastically. Radius and mass of each sphere is R and m. There is no friction between the two spheres. The

net angular impulse about its centre, imparted to second sphere after impact is

ωv

at rest

(A)5

7mRv (B)

3

7mRv

(C)2

7mRv (D)

4

7mRv

5. A uniform disc of radius R lies in x-y plane with its centre at origin. Its moment of inertia about the axis 17

2=y R

and z = 0 is equal to moment of inertia about the axis x = d and y = 0. The value of d is

R

(0 0)

y = √172

R

d

x

y

(A) 3R (B) 4R

(C) R (D) 2R



3/19

6. As shown in figure an object comprises of a uniform chord AB and a ring of radius R (not necessarily both made

of the same material). Which of the following cannot be the centre of mass of object?

y

x

B

A(0, 0)

(A) ,4 4

R R⎛ ⎞⎜ ⎟⎝ ⎠

(B) ,3 3

R R⎛ ⎞⎜ ⎟⎝ ⎠

(C) ,3 3

R R⎛ ⎞⎜ ⎟⎝ ⎠

(D)2 2

,5 5

R R⎛ ⎞⎜ ⎟⎝ ⎠

SECTION - 2

One or More Options Correct Type

This section contains 5 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) out of which ONE

OR MORE are correct.

7. A plank of length L and mass M is placed at rest on a smooth horizontal surface. As shown in figure a small block

of mass m is projected with a velocity v0. The coefficient of friction between the block and the plank is μ, plank is

very long so that block eventually comes to rest on it.

m

M

v0

Smooth

(A) The final common velocity is 0

mvv

M m=

+

(B) The work done by friction on the plank is =

2

2

02

1

2 ( )+m M

v

m M

(C) The work done by friction on the block is 2

02

1 ( 2 )

2 ( )

+= −+

mM M mv

M m

(D) The net work done by friction is 2

0

1

2= −

+mM

v

M m



4/19

8. A ball of mass m moving at a speed v makes a head on collision with an identical ball at rest. The kinetic energy

of the balls after the collision is 3

4th of original. Choose the correct statements

m

v

m

v2

m

v1

(A) 1

1is

2

ev v

+⎛ ⎞⎜ ⎟⎝ ⎠

(B)2

1is

2

ev v

−⎛ ⎞⎜ ⎟⎝ ⎠

(C) Coefficient of restitution is 1

2(D) Coefficient of restitution is

1

2

9. A uniform slender rod of length L and mass M is pivoted at one end. It is held horizontal and released. Given that

the pivot is frictionless, select the correct alternative(s).

L

M

(A) The angular acceleration of the stick immediately after it is released is 3

2

g

L

(B) The angular acceleration of the stick immediately after it is released is 2

3

g

L

(C) The force F0 exerted on the stick by the pivot immediately after release is

4

Mg

(D) The force F0 exerted on the stick by the pivot immediately after release is

2

Mg

10. The net force (F) acting on a particle depends on its position (x) as shown in figure. Choose the correct statement.

F

A

B

C x

(A) A is the point of stable equilibrium (B) C is the point of unstable equilibrium

(C) B is the point of neutral equilibrium (D) B is the point of stable equilibrium



5/19

11. A particle of mass m is suspended from a string of length R and at the bottom it

is given velocity 3=u gR . Choose the correct velocity and tension for different

points given in the figure.

(A) Velocity at point B is 7gR (B) Tension at point B is 7mg

D B

C

u

R

(C) Velocity at point C is 5gR (D) Tension at point C is 4mg

SECTION - 3

Paragraph Type

This section contains 2 paragraphs. Each describing theory, experiment, data etc. Four questions relate to two paragraphs

with two questions on each paragraph. Each question of a paragraph has only one correct answer among the four choices

(A), (B), (C) and (D).

Paragraph for Question Nos. 12 to 13

A constant horizontal force F = mg starts acting on a suspended pendulum bob of mass m, initially at rest.

mF

12. The maximum angular deflection of the string

(A)3

π(B)

6

π

(C)2

π(D)

4

π

13. Tension is maximum at angular deflection of the string

(A)3

π(B)

6

π

(C)2

π(D)

4

π



6/19


Two smooth balls A and B, each of mass m and radius R have their centres at (0, 0, R) and at (5R, –R, R)

respectively, in a coordinate system as shown. Before collision, ball A is moving along positive x-axis with speed

of 4 m/s and ball B is stationary. The collision between the balls is elastic.

x(m)

y

A

B

14. Velocity of the ball A just after collision is

(A) ˆ3−i j (B) ˆ ˆ3+i j

(C) ˆ ˆ3 +i j (D) ˆ ˆ3 −i j

15. Impulse of the force exerted by A on B during collision is equal to

(A) ˆ ˆ3 3−mi mj (B) ˆ ˆ3 3+mi mj

(C) ˆ ˆ3 3+mi mj (D) ˆ ˆ3 3−mi mj

SECTION - 4

Matching Column Type

This section contains 2 multiple choice questions. Each question has matching Columns. The codes for the Columns

have choices (A), (B), (C) and (D) out of which ONLY ONE is correct.

16. The figure shows a fixed hemisphere of radius R. A small ball of mass m is projected horizontally along the tangent

with a speed v from a point C. The centre O, lowest point A and point C lie in same vertical plane.

Column I Column II

(P) Angular momentum about O (1) mvR

(Q) Angular momentum about C (2) 2mvR cos2

θ⎛ ⎞⎜ ⎟⎝ ⎠

θ

A

O

C

(R) Angular momentum about A (3) mvR sinθ

(S) Angular momentum about OA (4) Zero



7/19

Codes :

P Q R S

(A) 1 3 4 2

(B) 3 2 1 4

(C) 1 4 2 3

(D) 4 2 1 3

17. When a wheel rolls without slipping on a horizontal surface, any point (B) on its circumference moves along a

curved path called cycloid. Consider a point B on the circumference, initially in contact with the surface, consider

that point as origin. Match column I having coordinate of point B and velocity of point B after the time interval t with

the column II.

ωv

B

c

Column I Column II

(P) x-coordinate of point B (1) cosc

v t

r r

r

⎛ ⎞− ⎜ ⎟⎝ ⎠

(Q) y-coordinate of point B (2) cosc

c c

v t

v v

r

⎛ ⎞− ⎜ ⎟⎝ ⎠

(R) Horizontal component of velocity of point B (3) sin⎛ ⎞− ⎜ ⎟⎝ ⎠

c

c

v t

v t r

r

(S) Vertical component of velocity of point B (4) sinc

c

v t

v

r

⎛ ⎞⎜ ⎟⎝ ⎠

Codes :

P Q R S

(A) 1 3 2 4

(B) 3 1 2 4

(C) 3 2 1 4

(D) 4 2 3 1



8/19

SECTION - 5

Integer Value Correct Type

This section contains 3 questions. The answer to each of the question is a single digit integer, ranging from 0 to 9. The

appropriate bubbles corresponding to the respective question numbers in the ORS have to be darkened. For example,

if the correct answers to question numbers X, Y and Z (say) are 6, 0 and 9, respectively, then the correct darkening of

bubbles will look like the following :

0

X

Y

Z 1 2 3 4 5 6 7 8 9

0 1 2 3 4 5 6 7 8 9

0 1 2 3 4 5 6 7 8 9

18. A uniform rod of mass m and length I is free to rotate about hinge O. A slight disturbance causes the rod to rotate

freely about O. Horizontal force applied on rod by hinge just before the rod hits the surface is .

xmg

y Find the value

of x + y.

O

l

19. The system of blocks must be released from > nmgh

k with the spring unstretched so that after perfectly inelastic

collision (e = 0) with ground, B may be lifted off the ground. Find the least possible value of n. (k is spring constant).

m

2m

A

B

h



9/19

20. A uniform disc of mass m and radius R is projected horizontally with velocity v0 on a rough horizontal floor so that

it starts off with a purely sliding motion at t = 0. After 0

0=

μv

tn g

second it acquires a purely rolling motion as

shown in figure. Find the value of n.

v0

t = 0

v

t t =

0

PART - II : CHEMISTRY

SECTION - 1



ONE is correct.

21. 10 ml of 0.2 M acid is added to 250 ml of a buffer solution with [H+] = 10–6.34 mol/L. The [H+] of the solution becomes

10–6.32 mol/L. The buffer capacity of the solution is

(A) 0.1 (B) 0.4

(C) 0.5 (D) 0.6

22. The rates of diffusion of SO2, SO

3, O

3 and CO

2 in the following order

(A) CO2 > O

3 > SO

2 > SO

3(B) O

3 > CO

2 > SO

2 > SO

3

(C) SO3 > CO

2 > SO

2 > O

3(D) CO

2 > SO

2 > O

3 > SO

3

23. Compressibility factor for N2 at 27°C and 100 atm pressure is 1.66. Calculate number of moles of N

2 gas required

to fill a gas cylinder of 821 ml under these conditions.

(A) 3.5 (B) 3

(C) 2.5 (D) 2

24. A2 (g) is dissociated to A (g) of 33% and 40% if total pressure P

1 and P

2 atm respectively at 300 K then the ratio

1

2

P

P is

(A) 1.55 (B) 2.55

(C) 3.425 (D) 4.425



10/19

25. The solubility of Ag2CO

3 in presence of Na

2CO

3 is expressed by

(A)

sp

2

3

2K

CO− (B)

sp

2

3

K1

2 [CO ]−

(C)sp

1[Na ]

2K

+ ×(D) 2K

sp × [CO

3

–2]

26. The entropy change when 1 mole of ideal gas expands reversibly from an initial volume of 2 litres to final volume of

20 litres at 25°C is

(A) 19.15 JK–1 mol–1 (B) 4.6 JK–1 mol–1

(C) 0.1914 JK–1 mol–1 (D) 46.06 JK–1 mol–1

SECTION - 2




27. Cp

– Cv = R. This R is not equal to

(A) Change in KE

(B) Change in rotational energy

(C) Work done which system can do on expanding the gas per mol per degree increase in temperature

(D) Change in PE

28. Chemical equilibrium for a reversible change means for

(A) The forward reaction proceeds as fast as the backward reaction i.e. velocity of opposing reaction is equal

(B) No change in concentration of reaction species with time

(C) Dynamic equilibrium

(D) The concentration of reactant molecules must be equal to the concentration of product molecules

29. Which of the relationships is/are correct?

(A) av

8RTC

M=

π(B) rms

3RTC

M=

π

(C) PM = dRT (D) Cav

= 0.816 × Crms



11/19

30. For which reactions given fact(s) is /are correct?

(A)2 2 3

H S H O H O HS+ −+ +��⇀

↽�� : Kc is ionisation constant for acid

(B)2 2 3

H O H O H O OH+ −+ +��⇀

↽��: K

c is ionic product of water

(C)3 2 2 3 3

CH NH H O CH NH OH

+−+ +��⇀

↽�� : K

c is ionisation constant of base

(D) 2 2

3 3 4Cu 4NH [Cu(NH ) ]

+ ++ ��⇀↽��

: Kc is stability constant of complex

31. In the reaction 2 4 2

Cl OH Cl ClO H O− − −+ ⎯⎯→ + + ; Chlorine (Cl

2) is

(A) Oxidised

(B) Reduced

(C) Disproportionated

(D) Neither oxidised nor reduced

SECTION - 3

Paragraph Type



(A), (B), (C) and (D).


The methods employed for the determination of equilibrium constant are different for different equilibria depending

on the nature of the system and the types of reaction. In simple gaseous dissociation such as

2 4 2N O (g) 2NO (g)��⇀

↽��; 1 mole of N

2O

4 (g) is decomposed under atmospheric condition at 25°C.

32. Value of KP increased by when degree of dissociation becomes equal to 50% at constant temperature

(A) 1.5 times (B) Remains constant

(C) 2 times (D) Decreases

33. If the degree of dissociation of the above equilibrium is 50%, then observed vapour density is

(A) 30.6 (B) 54.22

(C) 90.23 (D) 25.46



12/19


Iron metal is produced commercially by reducing iron (III) oxide into iron ore with carbon monoxide as follows

2 3 2Fe O (s) 3CO(g) 2Fe(s) 3CO (g)+ ⎯⎯→ +

Fe O2 3

CO (g) Fe (s) CO (g)2

ΔH° (kJ/mol)f

ΔS° (J/mol K)

–824.0 –110.5 0 –393.5

87.5 197.5 27.0 213.5

34. The standard free energy change for the reaction at 25°C is

(A) + 15.0 kJ (B) –29.3 kJ

(C) –15.0 kJ (D) –20 kJ

35. Choose the correct statement

(A) The reverse reaction becomes spontaneous at a lower temperature

(B) The reverse reaction becomes spontaneous at a higher temperature

(C) The reverse reaction is not spontaneous at any temperature

(D) The forward reaction is not spontaneous at any temperature

SECTION - 4




36. Match the following

Column I Column II

(Mixture) (pH values)

(P) 0.1 M CH3COOH + 0.1 M (1) 7.4

CH3COONa (pK

a of CH

3COOH = 4.74)

(Q) 100 ml of 0.1 M HCl + 100 ml of 0.1 M NaOH (2) 9.26

(R) 100 ml of 0.1 M NH4OH (3) 7.0

(pKb

= 4.74) + 50 ml of 0.1 M HCl

(S) Blood buffer (4) 4.74



13/19

Codes :

P Q R S

(A) 1 2 3 4

(B) 2 3 4 1

(C) 4 3 2 1

(D) 4 2 3 1


Column I Column II

(P)2

Cu Cu Cu+ +⎯⎯→ + (1) Oxidation

(Q)3

ClO Cl− −⎯⎯→ (2) Reduction

(R)2

4 4MnO MnO

− −⎯⎯→ (3) Disproportionation

(S)2 2

2 7 4Cr O CrO

− −⎯⎯→ (4) Neither oxidation nor reduction

Codes :

P Q R S

(A) 3 2 1 4

(B) 2 3 1 4

(C) 3 2 4 1

(D) 3 1 2 4

SECTION - 5






0

X

Y

Z 1 2 3 4 5 6 7 8 9

0 1 2 3 4 5 6 7 8 9

0 1 2 3 4 5 6 7 8 9



14/19

38. The n-factor of the underline compound is

4 3 2 2NH NO N O 3H O⎯⎯→ +

39. 100 ml of 0.75 N NH4OH is mixed with 100 ml of 0.50 N HCl. The K

b of NH

4OH is 2 × 10–5. Hence pOH of the

solution is _________.

40. The ratio of excluded volume and actual molecular volume of real gas is _________.

PART - III : MATHEMATICS

SECTION - 1



ONE is correct.

41. Number of positive integers n ≤ 2014 such that '6' is a factor of n2 + 3n + 2 is

(A) 2014 (B) 1342

(C) 1343 (D) 1341

42. Sides of a triangle are distinct positive integers in an arithmetic progression. If the smallest side is 20 cm, then the

number of such triangles is

(A) 20 (B) 30

(C) 21 (D) 19

43. Let A = {1, 2, 3,.........., 12}, B = {101, 102,..........., 106}, number of functions defined from A to B such that

f(1) + f(2) +........ + f(12) is even is

(A) 612 (B) 3. 611

(C) 611 (D) 312 – 1

44. Let A denote the matrix

0

0

i

i

⎡ ⎤⎢ ⎥⎣ ⎦

, i2 = –1 and let I denote the identity matrix

1 0

0 1

⎡ ⎤⎢ ⎥⎣ ⎦

, then A + A2 + ..... + A2020 is

equal to

(A)

0 0

0 0

⎡ ⎤⎢ ⎥⎣ ⎦

(B)

1

1

i

i

⎡ ⎤⎢ ⎥⎣ ⎦

(C)

0

0

i

i

⎡ ⎤⎢ ⎥⎣ ⎦

(D)

1 0

0 1

−⎡ ⎤⎢ ⎥−⎣ ⎦



15/19

45. A = {x1, x

2, x

3,.........., x

2n}, x

i ∈ I, i = 1, 2, .............., 2n. Elements of A are arranged along a circle in that order.

If each number is equal to average of its two adjacent numbers. If 2

1

n

m

m

x k

=

=∑ , then sum of all numbers is

(A) 0 (B)

2

2

k k+

(C) 2k (D) 4k

46. Let A be n × n matrix such that it is idempotent matrix. The value of (I + A)2n is equal to (where I is the identity

matrix of order n)

(A) I + A (B) I + 2nA

(C) I + 22n A (D) I + (22n – 1) A

SECTION - 2




47. 1 2 3 4

2 6 10 141 ....up to

3 3 3 3S = + + + + + ∞

84 2 3

23 . 3 . 3 ....up toS = ∞ then

(A) S1 > S

2(B) S

1 < S

2

(C) Number of positive divisors of S1 + S

2 is 6 (D) S

1 = 2S

2

48. Let x1, x

2, x

3,......x

50 be fifty nonzero numbers such that x

i + x

i+1 = k for all 1 ≤ i ≤ 49. If x

14 = a, x

27 = b, then

(A) x20

+ x37

= 3a + 2b (B) x20

+ x37

= 2k – (a + b)

(C) x20

+ x37

= a + b (D) x20

+ x37

= 2k

49. Let x1

and x2 be the roots of the equation x2 – 3x + a = 0, x

3 and x

4 be roots of the equation x2 – 12x + b = 0, x

4,

x5 be roots of equation of x2 + cx + d = 0, if x

1 < x

2 < x

3 < x

4 < x

5 < x

6 are in G.P., then

(A) ab = 64 (B) c + d = 564

(C) c + d = 560 (D) |c – d| = 464

50. Let S3n

= 1 – 22 + 33 + 4 – 52 + 63 + .... up to 3n terms then

(A) S3n

is always divisible by 3 (B) S3n

is always divisible by 6

(C) S30

is divisible by 10 (D) S30

is not divisible by 10



16/19

51. If A is a square matrix of order 3 such that A3 = I and (A + I)3 + (A – I)3 – 6A = B, where I is the identify matrix

of order 3, then

(A) B = 2I (B) B = 3I

(C) |B| = 2 (D) |B| = 8

SECTION - 3

Paragraph Type



(A), (B), (C) and (D).


Let a1, a

2, a

3,......, a

n be n positive real numbers then

1/1 2

1 2 3

...( . . ... ) nn

n

a a a

a a a a

n

+ + +≥ equality holds when

a1 = a

2 = .... = a

n.

52. For x > –3 the minimum value of

22 12 26( )

3

x xf x

x

+ +=

+ is

(A) 8 (B) 4

(C) 6 (D) 12

53. If x + y + z = 55, x, y, z > 0 then x2 y4 z5 will be maximum when x is equal to

(A)55

3(B) 5

(C) 22 (D) 10


Suppose that each term in the sequence x1, x

2, x

3,......x

n (n is even) is either 1 or –1 or 0. Let S represent sum

of product of terms taken two at a time i.e. all xi xj (0 < i < j ≤ n) then

54. Minimum value of S is

(A) –n (B)( 1)

2

n −−

(C)2

n− (D)

( 1)

2

n +−



17/19

55. Maximum value of S is

(A)

21

2

n n− +

(B)

2

2

n

(C)

2

2

n n+

(D)

2

2

n n−

SECTION - 4




56. Let A = {1, 3, 5}. A number is selected from set A with replacement and this process is done 920 times for each

i = 1, 3, 5. Let f(i) represents the number of times the number (i ) is selected i.e. f(1) + f(3) + f(5) = 920, Let S

be sum of all 920 numbers selected. If S3 = 405 f(1). f(3). f(5) then match the statement in column I with statement

in column II and select appropriate code.

Column I Column II

(P) f(1) (1) 120

(Q) f(3) (2) 200

(R) f(5) (3) 600

(S) Harmonic mean of f(1), f(3), f(5) is (4) 100

Codes :

P Q R S

(A) 2 3 2 1

(B) 3 2 1 4

(C) 3 2 1 2

(D) 1 2 3 4



18/19


Column I Column II

(P) Let x – 2y = 1, x – y + az = 2, ay + 9z = b. (1) 6

Number of values of a for which given system

of equations does not possess unique solution is

(Q) For above given equation(s) in part (P) number of (2) 2

ordered pair (a, b) for which given system of

equations have infinite solution is

(R) If 5 2

2 1A

⎡ ⎤= ⎢ ⎥⎣ ⎦

and A–1 = λA + μI then μ is equal to (3) 12

(S) Let N = 253253, number of divisors of N which are (4) 11

of the form 8λ + 4, λ ∈ N is

Codes :

P Q R S

(A) 2 2 1 4

(B) 2 2 1 3

(C) 1 1 2 3

(D) 2 1 3 4

SECTION - 5






0

X

Y

Z 1 2 3 4 5 6 7 8 9

0 1 2 3 4 5 6 7 8 9

0 1 2 3 4 5 6 7 8 9



19/19

58. a, b, c, d be positive real numbers such that a + b + c + d = 12 and abcd = 27 + ab + ac + ad + bc + bd + cd

then value of 2( )

3

a d b c+ + + is __________

59. If

4 4 4

24 4 4 1 2 3

1 1 11 3 .... (2 1)

14 4 4

1 1 12 4 .... (2 )

4 4 4

n

k n k n kn

⎛ ⎞ ⎛ ⎞ ⎛ ⎞+ + − +⎜ ⎟ ⎜ ⎟ ⎜ ⎟⎝ ⎠ ⎝ ⎠ ⎝ ⎠=

⎛ ⎞ ⎛ ⎞ ⎛ ⎞ + ++ + +⎜ ⎟ ⎜ ⎟ ⎜ ⎟⎝ ⎠ ⎝ ⎠ ⎝ ⎠

then k1 – k

2 + k

3 is equal to

60. Let

–4 –1 6

6 4 –9

–5 0 5

A

⎡ ⎤⎢ ⎥= ⎢ ⎥⎢ ⎥⎣ ⎦

. If |adj adjA| = 5k, then k is equal to

� � �

Test - 1 (Paper - II) (Answers & Hints) All India Aakash Test Series for JEE (Advanced)-2014

1/16

TEST - 1 (Paper - II)

PHYSICS

1. (B)

2. (C)

3. (A)

4. (D)

5. (B)

6. (C)

7. (B, C)

8. (A, B)

9. (A, C)

10. (A, C, D)

11. (A, B, C, D)

12. (B)

13. (C)

14. (D)

15. (D)

16. (B)

17. (C)

18. (9)

19. (3)

20. (2)

CHEMISTRY

21. (C)

22. (D)

23. (B)

24. (D)

25. (B)

26. (A)

27. (A, B, D)

28. (A, C)

29. (A, D)

30. (A, C, D)

31. (C)

32. (A)

33. (B)

34. (D)

35. (D)

36. (B)

37. (A)

38. (5)

39. (9)

40. (4)

MATHEMATICS

41. (B)

42. (C)

43. (A)

44. (D)

45. (D)

46. (B)

47. (A, B)

48. (A, C)

49. (A, B)

50. (A, B)

51. (A, B, D)

52. (A)

53. (B)

54. (C)

55. (A)

56. (C)

57. (D)

58. (4)

59. (2)

60. (4)

ANSWERS

Documents

AIATS-2 COVERS 2014 › 2017 › 12 › jee...All India Aakash Test Series for JEE (Advanced)-2014 Test - 2 (Paper-II) 2/19 3. Two steel spheres, having radii a and 2a are released